Q: Select the wrong statement(s) about truth-functional connectives and logical status:
(A) In propositional logic, a conjunction “p and q” is true only when both p and q are true;
(B) In inclusive disjunction, “p or q” is false only when both p and q are false;
(C) The exclusive “either p or q but not both” can be represented as “(p or q) and not(p and q)”;
(D) A contradiction is a statement that is true in every possible assignment of truth values;
(E) A tautology is a statement that is false in at least one row of its truth table;
(F) Truth tables can be used in UGC NET logical reasoning to test whether an argument form is valid;
Choose the correct answer from the options given below:
Q: Which of the following statements about the expression “either A or B” in logic are correct?
(A) In everyday language, “either A or B” is often used in an exclusive sense, meaning exactly one of A or B happens;
(B) In classical propositional logic, the standard disjunction symbol ∨ is interpreted inclusively, allowing the possibility that both A and B are true;
(C) An exclusive-or connective can be defined using basic connectives as (A ∨ B) ∧ ¬(A ∧ B);
(D) In all UGC NET reasoning questions, “either A or B” must always be interpreted as exclusive, never inclusive;
(E) Inclusive and exclusive or connectives always yield the same truth values in every possible valuation;
Choose the correct answer from the options given below:
Q: Which of the following statements about translating everyday connectives into logic are correct?
(A) The expression “either p or q” in reasoning is often treated as inclusive unless the context clearly indicates an exclusive sense;
(B) “Neither p nor q” can be translated as “not p and not q”;
(C) “Exactly one of p and q” can be symbolised as “(p or q) and not(p and q)”;
(D) The expression “both p and q” corresponds to the conjunction “p and q”;
(E) In every context, natural language “or” always means the same as logical inclusive disjunction;
(F) Misinterpreting “or” and related phrases can lead to errors in solving logical reasoning questions;
Choose the correct answer from the options given below:
Q: Which of the following statements about “either–or” reasoning are correct?
(A) In everyday language, “either A or B” can sometimes be inclusive, allowing both A and B to be true;
(B) In strict exclusive-or sense, “either A or B” means exactly one of A or B is true, but not both;
(C) In many logical reasoning puzzles, the context determines whether “either–or” is inclusive or exclusive;
(D) Assuming exclusive-or when the context clearly allows both options can lead to wrong conclusions;
(E) UGC NET questions may expect candidates to infer the intended sense of “either–or” from the given conditions;
Choose the correct answer from the options given below:
Q: Which of the following statements about natural-language connectives like “and”, “or” and “unless” in reasoning are correct?
(A) In logical reasoning, the word “and” is usually treated as a conjunction that requires both component statements to be true for the whole to be true;
(B) The word “or” in reasoning questions is always exclusive, meaning exactly one of the component statements is true;
(C) In many exam questions, “or” is interpreted as inclusive unless the context clearly indicates an exclusive sense;
(D) The phrase “p unless q” is often translated as “if not q then p”;
(E) Misinterpreting “or” and “unless” can lead to incorrect answers in logical reasoning items;
(F) Natural language always matches logical connectives perfectly, so no interpretation is ever needed;
Choose the correct answer from the options given below:

Comment Your Answer
Please login to comment your answer.
Sign In
Sign Up
Answers commented by others
No answers commented yet. Be the first to comment!